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BaLLatris [955]
4 years ago
6

#21-24. Finding the missing sides and angles of triangles

Mathematics
1 answer:
stellarik [79]4 years ago
7 0
#21: (4•4) + (7•7)= (c•c)
16+49= (c•c)
65=(c•c)
_/65= c

#22: 22+90= 112
180-112= 68
68

#23: (3.5•3.5) + (4.7•4.7) = (c•c)
12.25 + 22.09= (c•c)
34.34= (c•c)
_/34.34= c

#24: 22+90= 112
180-112= 68
68
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URGENT HELP 20 POINTS
Juli2301 [7.4K]

Answer:

-5.6666.... is a rational number and 3.25 is a rational number but not integer too. the rest you got all right, good job.

hope that answers your question

dont hesitate to comment if you need some explanation about this topic

5 0
3 years ago
What is the solution of the equation (x – 5)2 3(x – 5) 9 = 0? use u substitution and the quadratic formula to solve.
Ahat [919]

The value of x in the equation (x-5)^{2} +3(x-5)+9=0is x=(7+3\sqrt{3}i)/2,

(7-3\sqrt{3}i)/2.

Given equation (x-5)^{2} +3(x-5)+9=0 .

We have to find the solution of the equation.

Equation  is solved to find the value of variables. The number of values of the variable depends on the highest power of variables.

let (x-5)=u-------------------1

equation becomes u^{2} +3u+9=0

solution of a quadratic formula

x=-b±\sqrt{b^{2} -4ac}/2a

on comparing with general form a=1,b=3, c=9

u=-3±\sqrt{3^{2} -4*1*9} /2

=-3±\sqrt{9-36}/2

=-3±3\sqrt{-27}/2

=-3±3\sqrt{3} i/2

u_{1} =-3+3\sqrt{3}/2 , u_{2}=-3-3\sqrt{3}/2

put the values of u_{1} in equation 1

x-5=u_{1}

x-5=-3+3\sqrt{3} /2

x=-3+3\sqrt{3}i/2+5

x=7+3\sqrt{3} i/2

put the values of u_{2} in  equation2

x-5=u_{2}

x-5=-3-3\sqrt{3} /2

x=7-3\sqrt{3}/2

Hence the values of x are 7+3\sqrt{3}i/2, 7-3\sqrt{3}i/2.

Learn more about equation at brainly.com/question/2972832

#SPJ4

5 0
2 years ago
???????????????????????????? Please answer ASAP. Very much appreciated. ❤️❤️❤️❤️
tankabanditka [31]
She needs to earn at least 84 to buy the mp3 player

earnings=earningsperhour times numberofhoursworked

earnings per hour=12 dollars
number of hoursworked=h

therefor
earnings=12 ties h or12h

earnings is at least 84
earnings is greater than or equal to 84
earnings<u>></u>84
12h<u>></u>84

solve
12h<u>></u>84
divide both sides by 12
h<u>></u>7
she needs to work at least 7 hours

to graph, draw a line at x=0 and shade to the right, make the line solid
3 0
3 years ago
I need the slope for this
stira [4]

Answer:

Slope: 7

Step-by-step explanation:

y=mx+b

substitute what you know

7=m

3 0
3 years ago
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card
joja [24]

Answer: \dfrac{3}{51}

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red  cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

\dfrac{13}{52}=\dfrac{1}{4}

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

\dfrac{12}{51}

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}

7 0
4 years ago
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